The fact that in any rational conformal field theory (RCFT) four-point function on the sphere must satisfy an ordinary differential equation gives a simple condition on the conformal dimensions of primary fields. We discuss how this can help in the classification program of RCFT. As an example all associative fusion rules with less than four non-trivial primary fields and Nijk ≤ 1 are discussed. Another application to the classification of chiral algebras is briefly mentioned. © 1989.
Christe P., Ravanini F. (1989). A new tool in the classification of rational conformal field theories. PHYSICS LETTERS. SECTION B, 217(3), 252-258 [10.1016/0370-2693(89)90861-7].
A new tool in the classification of rational conformal field theories
Ravanini F.
1989
Abstract
The fact that in any rational conformal field theory (RCFT) four-point function on the sphere must satisfy an ordinary differential equation gives a simple condition on the conformal dimensions of primary fields. We discuss how this can help in the classification program of RCFT. As an example all associative fusion rules with less than four non-trivial primary fields and Nijk ≤ 1 are discussed. Another application to the classification of chiral algebras is briefly mentioned. © 1989.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
